Answer:
The correct answer is x < 2 or x > -2. The graph would be a line between -2 and 2 with an open circle on both.
Step-by-step explanation:
To solve, first solve the equation for the absolute value portion of the equation.
2|x| + 1 < 5
2|x| < 4
|x| < 2
Now since there is an absolute value around it, we have to complete it for the positive and negative versions.
x < 2 OR x > -2
Answer:
y=2x+7
Step-by-step explanation:
A linear equation is typically organized in the form y=mx+b, where m is the slope of the line and b is the y-intercept (the y-coordinate of the point on the line that crosses the y-axis).
Parallel lines <em>always</em> have the same slope. When we examine the given equation, y=2x+6, we can identify immediately that 2 is in the place of m, the slope. This means that the slope of the line we're trying to solve for is also 2. So far, our equation looks like this:
y=2x+b
The last thing we need to calculate is b, the y-intercept. We can do this by plugging in the given point (-1,5) as x and y.
y=2x+b
5=2(-1)+b
5=-2+b
Add 2 to both sides to isolate b
5+2=-2+b+2
7=b
Now that we know b, we plug that into our original equation and now we have a final equation of:
y=2x+7
I hope this helps!
Answer: 0 ≤ t ≤ 40
Step-by-step explanation:
0 and 40 are included in all 3 number lines.
Answer:
7000
Step-by-step explanation:
5 pitchers * 8 people per pitcher= 40 people
